KTs
43.21%
Wins 42.95%, ties 0.52%
A5s
56.79%
Wins 56.53%, ties 0.52%
KTs against A5s: the numbers
| Hand | Wins | Ties | Loses | Equity |
|---|---|---|---|---|
| KTs | 42.952 | 0.522 | 56.526 | 43.213 |
| A5s | 56.526 | 0.522 | 42.952 | 56.787 |
KTs meets A5s, and both are suited hands. With no overlap in ranks, every card that pairs one hand is a card that does not pair the other.
A5s is ahead, but KTs is far from dead: it takes 430 of every 1,000 deals outright. Ties are part of the picture: 0.52% of boards end in a split pot, and each side counts that as half a win.
Ranked by equity against a random hand, KTs is number 22 of the 169 starting hands and A5s is number 30.
| Hand | Boards won, about | Boards tied, about | Boards lost, about |
|---|---|---|---|
| KTs | 11,768,000 | 143,000 | 15,486,000 |
| A5s | 15,486,000 | 143,000 | 11,768,000 |
The total is exact: 16 specific deals times 1,712,304 boards. The three counts are approximate, worked out from the percentages to five decimals and rounded to the nearest thousand.
| Hand | Equity as odds (to 1) | Wins one deal in | Loses one deal in | Pot odds needed to call (to 1) |
|---|---|---|---|---|
| KTs | 0.761 | 2.328 | 1.769 | 1.314 |
| A5s | 1.314 | 1.769 | 2.328 | 0.761 |
In the last column, a pot-to-call ratio at or above the figure makes a call break even or better at this equity.
Who is ahead on which flops
Split by what the flop looks like, A5s peaks at 73.70% on low rainbow flops (nine high or lower) and bottoms out at 50.81% on rainbow flops topped by a ten or better. A5s stays ahead on all five textures, but the swing between them is large, so how the flop looks matters a great deal.
| Flop | Share of flops | KTs wins | Ties | A5s wins | KTs equity |
|---|---|---|---|---|---|
| Rainbow, ten or higher | 23.867 | 49.111 | 0.163 | 50.726 | 49.193 |
| Rainbow, nine or lower | 7.042 | 25.874 | 0.851 | 73.275 | 26.300 |
| Two-tone | 46.727 | 44.276 | 0.287 | 55.437 | 44.419 |
| Monotone | 5.273 | 43.986 | 3.436 | 52.578 | 45.704 |
| Paired | 17.091 | 37.449 | 0.632 | 61.919 | 37.765 |
Read the flop types this way: rainbow has three suits, two-tone has two cards of one suit, monotone has three, and paired repeats a rank.
Compared with a random hand
Compared with a random opponent, this matchup shifts KTs from 61.79% by -18.58 points and A5s from 59.92% by -3.13 points.
| Case | Equity here | Against a random hand | Change in points | Times the random-hand equity |
|---|---|---|---|---|
| KTs, all flops | 43.213 | 61.789 | -18.576 | 0.69936 |
| KTs, rainbow, ten or higher | 49.193 | 61.789 | -12.596 | 0.79614 |
| KTs, rainbow, nine or lower | 26.300 | 61.789 | -35.489 | 0.42564 |
| KTs, two-tone | 44.419 | 61.789 | -17.370 | 0.71888 |
| KTs, monotone | 45.704 | 61.789 | -16.085 | 0.73968 |
| KTs, paired | 37.765 | 61.789 | -24.024 | 0.61119 |
| A5s, all flops | 56.787 | 59.923 | -3.136 | 0.94767 |
| A5s, rainbow, ten or higher | 50.807 | 59.923 | -9.116 | 0.84787 |
| A5s, rainbow, nine or lower | 73.700 | 59.923 | +13.777 | 1.22991 |
| A5s, two-tone | 55.581 | 59.923 | -4.342 | 0.92754 |
| A5s, monotone | 54.296 | 59.923 | -5.627 | 0.90610 |
| A5s, paired | 62.235 | 59.923 | +2.312 | 1.03858 |
Does a shared suit matter?
Suit overlap shows up in the numbers. With a suit in common A5s has 58.66% equity, and with none in common it has 56.16%. A5s does better with a shared suit, by 2.50 points.
| Deals | Specific deals | Share of deals | KTs wins | Ties | A5s wins | KTs equity |
|---|---|---|---|---|---|---|
| Share a suit | 4 | 25.00 | 41.038 | 0.603 | 58.359 | 41.339 |
| No shared suit | 12 | 75.00 | 43.590 | 0.495 | 55.915 | 43.838 |
How often this matchup comes up
The class pair covers 16 combinations of specific cards in a fixed seat order, 0.0010% of 1,624,350, and 32 (0.0020%) in either order.
A worked example
A $100 all-in from each player makes a $200 pot, and the exact equity says A5s gets $113.58 of it on average and KTs gets $86.42.
In 1,000 deals of exactly this matchup, expect about 565 won outright by A5s, about 430 won outright by KTs and about 5 split.
The same matchup from the other side
A5s versus KTs is this same page seen from the other hand: 56.79% for A5s, 43.21% for KTs.
Keep exploring
Open the calculator with KsTs against Ah5h already entered, a deal with no shared suit, and change any card to try your own hand. The matchups after it each swap one hand for a nearby one in the ranking.
How this was computed
Method: exact enumeration. The 16 specific deals are grouped by suit pattern, each is run against all 1,712,304 boards, and both seven-card hands are scored. Equity adds half of every tie, and flop textures are tallied over the ten flops inside each board.
Source: our own exact count from the GeorgeLiPoker poker math library. No outside data is used.
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